We have covered almost every variety of problems and learned direct formulas to solve them quickly. If the numbers n1 and n2 are exactly divisible by the same number x, then x is a common divisor of n1 and n2. Mar 28, 2019 lcm and hcf formulas, shortcuts and tricks with examples. F least common multiple lcm of two or more numbers is the smallest number that is a multiple of all the numbers. This topic is very important for 2019 exam preparation. Therefore lcm of given coprime numbers is equal to the product of the numbers. Properties of hcf and lcm formulas and solved problems. Use same remainder for each formula and we get 127. Lcm least common multiple and hcf highest common factor formula. Lcm and hcf formulas, shortcuts and tricks with examples. Formulas of hcf and lcm questions answers mcq quantitative.
Complete lcm and hcf by gagan pratap all tricks,shortcut, concepts,option methodo. The product of lcm and hcf of any two given natural numbers is equivalent to the product of the given numbers. Lcm least common multiple and hcf highest common factor. If number p divided another number q exactly, we say that p is a factor of q. M is least common multiple, the smallest number which is exactly divisible by all the given. The lcm of two or more fractions is the least fraction or integer which is exactly divisible by each of them. The calculator given in this section can be used to find hcf and lcm for the given data values.
Jul 27, 2019 complete lcm and hcf by gagan pratap all tricks,shortcut, concepts,option methodo. Hcf and lcm is an important topic for competitive exams, entrance exams as well interviews. Hence, product of two numbers hcf lcm of the two numbers. Mar 19, 2019 hcf and lcm questions for ssc cgl pdf. Complete lcm and hcf by gagan pratap all tricks,shortcut. The highest of all the common divisors of n1 and n2 is called as the gcd or the hcf. The hcf and lcm are straightforward enough for smaller numbers when both lists of factors and multiples are not too hard to find but when we get to trying to find the lcm and hcf of numbers in. Hcf and lcm concepts formulas and problems for cat exam. So read this topic carefully and learn hcf and lcm problems with explanation. And usually in time speed work, pipecistern type questions have number in two digits e. The lowest common multiple lcm of two or more given numbers is the least number which is exactly divisible by each of them. Nowadays in competitive exams, direct questions are not asking on hcf and lcm, they focused mainly on simplification questions based on the relation between them. Aptitude hcf and lcm formula the concept of gcd greatest common divisor or highest common factor. Himstates website is aspired to provide you competitive exams information, questions and answers,formulas, tricks, previous year questions etc.
To find the largest number that will divide x, y and z leaving remainders a, b and c respectively. But, such questions require advance concepts of factorization. Hcf of 60 and 75 15 because 15 is the highest number which divides both 60 and 75 exactly. Important lcm hcf questions, formulas, practice pdf. Lcm and hcf short tricks with examples published on tuesday, january 31, 2017. Least number of tiles required areaof theroom areaof onetile 1517 902 41 41 814 x x 8. When you have found the hcf of the numbers a and b the lcm can be found using the following formula. Jul 18, 2018 hcf and lcm is another very important topic from the number system. Highest common factorhcf highest common factorhcf of two or more numbers is the greatest number which divides each of them exactly. Important lcm hcf questions, formulas, practice pdf download. In this case, first we have to find, where we have more number of. Greatest common measure gcm and greatest common divisor gcd are the other terms used to refer hcf. As the rules of mathematics dictate, the greatest common divisor or the gcd of two or more integers, when at least one of.
Hcf and lcm formula shortcut tricks with examples to find. Lcm and hcf short tricks with examples bankexamstoday. Finding factors and multiples is like playing hide and. Home aptitude hcf and lcm shortcut formula hcf and lcm shortcut formula aptitude edit. For the better understanding of the concept lcm lowest common multiple and hcf highest common factor, we need to recollect the terms multiples and factors. Download ssc cgl hcf and lcm questions with answers pdf based on previous papers very useful for ssc cgl exams. The smallest natural number n that is exactly divisible by n1 and n2 is called the least common multiple lcm of n1. F of two or more than two numbers is the greatest number that divides each of them exactly. Here read this topic for basics and a few tips to solve quickly and also included important models on the relation between hcf and lcm. Least common multiple lcm least common multiple lcm of two or more numbers is the smallest number that is a multiple of all the numbers. Lcm and hcf formula lcm and hcf formulas, properties and important ways to solve lcm and hcf questions are given below on this page below. With your concepts clear right from the beginning, you wont face any difficulty in understanding the various advanced concepts that are taught.
Prime factors lcm hcf worksheets questions and revision. Lcm and hcf shortcut tricks page 2 lcm and hcf important questions page 3 lcm and hcf video lecture page 4. Lcm and hcf maths questions pdf in hindi indiahelpz. Email bulletins from the maths team at edexcel are a fantastic way filename. Properties of hcf and lcm formulas and solved problems byjus. To find lcm and hcf of ab and cd the generalized formula will be. Hcf and lcm formula aptitude questions and answers. This quiz involves in problems on lcm and hcf mcq online test with various types of questions and answers. Aptitude hcf and lcm if a number p divides another number q exactly, we say that p is a factor of q i. M are an important concept related to factors or multiples of numbers.
Hcf and lcm questions and answers, formulas,tricks,test. Basic arithmetic plays a vital role in laying a strong foundation of mathematics, a subject that is dreaded by many. Lets learn about lcm, hcf, and relation between hcf and lcm of natural numbers. Relation between hcf and lcm of polynomials formula. In this page, you will learn about hcf and lcm maths formula and tricks in this page, l have explained all the short tricks and explanation on the abovesaid topics. Personal whatsapp groups for discussion with faculty. So, we can see that the first occurrence of a number which is a multiplier of both of these numbers is 35, therefore 35 is the lcm of 5 and 7. Jan 31, 2017 the lcm is least number which is exactly divisible by each one of the. You must have played hide and seek a number of times. Short tricks in hindi, lcm hcf problems formulas, methods of solving lcm and hcf problems, old papers, important questions. The product of two numbers is equal to the product of their hcf and lcm.
Hcf and lcm formula shortcut tricks with examples to. Dec 23, 2015 subscribe on facebook too in this video i am showing how to find lcm and hcf easily. However, there are still certain advance types of problems which are based on hcf and lcm concepts. Greatest common measuregcm and greatest common divisorgcd are the other terms used to refer hcf. Click here to learn the concepts of hcf and lcm of polynomials and their relations from maths. Due to some limitations in web options, math symbols, notations were unable to view properly. Hcf and lcm formula hcf and lcm tricks, explanation for.
The concept is not just restricted to the number system but is also helpful in solving some questions from arithmetic which is a very important topic for cat exam. The concept of lcm least common multiple let n1, and n2 be two natural. The hcf of the sum of the numbers and their lcm is equal to the hcf of the numbers. Lcm least common multiple the lcm is the least number which is exactly divisible by each one of the given numbers. In this article, we are going to discuss the definition, the relation between hcf and lcm of given numbers in detail with examples. To find the greatest number that will exactly divide x, y and z. Lcm of 3 and 4 12 because 12 is the smallest number which is a multiple of both 3 and 4 in other words, 12. F is the highest common factor or also known as greatest common divisor, the greatest number. To find hcf and lcm with shortcut tricks is very necessary to know while you are preparing for any competitive or entrance exam because it safes your time and the chances of accuracy in short time arises. Lcm and hcf tricks, problems and formulas bankexamstoday. These are the different models in hcf and lcm questions frequently asked in the examination.
Highest common factor hcf of two or more numbers is the greatest number which divides each of them exactly. If possible learn all the formulas discussed above to solve hcf and lcm questions and practice some other questions related to hcf and lcm. If you are using a spreadsheet such as excel there are functions named lcm and gcd for calculating the lcm and hcf. The lcm and hcf of two numbers are 156 and 4 respectively. In this game, you have to find your hidden friends. This is aptitude questions and answers section on problems on lcm and hcf with explanation for various interview, competitive examinations and entrance tests. We know that the factors of a number are exact divisors of that particular number. Hcf and lcm of polynomials and their relations formulas. Extremely fast when youve to find lcms of two digit numbers for example 12,15,96. Accordingly the hcf of the numbers will be same as that of their differences.
So it is better to start from basic terminology and concepts. Problems on lcm and hcf aptitude questions and answers. Read formulas, definitions, laws from hcf and lcm of polynomials here. Relation between hcf and lcm definitions, and formulas. Candidates can take the problems on lcm and hcf aptitude quiz from this article. Lets proceed to the highest common factor hcf and the least common multiple lcm. Quantitative aptitude lcm hcf problems pdf download with. Hence, if the two numbers are 180 and 320, the hcf20 and lcm 18032020 2880. Both hcf and lcm of given numbers can be found by using two methods. Product of two numbers first number x second number h. The common multiples of 3 and 4 are 12,24 and so on. Important hcf and lcm formula, tips for solving problems based on hcf and lcm asked in ssc cgl, ssc chsl, psc, banks, cds, nda, lic, railway and.
Jan 05, 2018 quantitative aptitude lcm hcf pdf download. In part ii, tnpsc previous year solved questions and lcm and hcf test questions will be posted. If a number p divides another number q exactly, we say that p is a factor of q i. Lcm of 3 and 4 12 because 12 is the smallest number which is a multiple of both 3 and 4 in other words, 12 is the smallest number which is divisible by both 3 and 4. Hcf and lcm formula hcf and lcm tricks, explanation for ssc cgl. Finding the hcf and lcm using these steps will help your task of finding the same easy and fast.
From the above set of rules and examples, we can calculate the hcf and lcm for any set of numbers. Individually none of them is prime number because 142 x 7 and 15 3 x 5. Lcm hcf questions, formulas, tricks and pdf download. The concept of gcd greatest common divisor or highest common factor consider two natural numbers n, and n2. Subscribe on facebook too in this video i am showing how to find lcm and hcf easily. Hcf lcm functional maths questions free pdf file sharing. Co prime numbers are those numbers that donot have any common factors. In this article, we have covered the basic concepts, tricks and formula on hcf and lcm. Formulas property 1 lcm x hcf product of two numbers h.
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